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Finding the Fourth Proportional to 783.25, 1,080.86 and 451.67

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Solution

The fourth proportional to 783.25, 1,080.86 and 451.67 is: 623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.25 : 1,080.86 = 451.67 : x
  2. Step 2: Convert to fraction form
    783.25/1,080.86 = 451.67/x
  3. Step 3: Cross multiply
    783.25x = 1,080.86 × 451.67
  4. Step 4: Simplify right side
    783.25x = 488,184.37
  5. Step 5: Solve for x
    x = 488,184.37/783.25
  6. Step 6: Final answer
    x = 623.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.